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LCM of 924, 698, 572, 318, 120

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 924, 698, 572, 318, 120 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 924, 698, 572, 318, 120. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,698,572,318,120

Given numbers are 924,698,572,318,120

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 924,698,572,318,120 is 2221859640.

Find LCM of 924,698,572,318,120 with Prime Factorization


2 924, 698, 572, 318, 120
2 462, 349, 286, 159, 60
3 231, 349, 143, 159, 30
11 77, 349, 143, 53, 10
7, 349, 13, 53, 10

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 11 x 7 x 349 x 13 x 53 x 10 = 2221859640

Therefore, the lowest common multiple of 924,698,572,318,120 is 2221859640.

LCM Formula to Find Lowest Common Multiple of 924,698,572,318,120

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

924 x 698 x 572 x 318 x 120 = 14077702679040

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

698 : 1, 2, 349, 698

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

318 : 1, 2, 3, 6, 53, 106, 159, 318

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,698,572,318,120, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

698:2x 349

572:2x 2x 11x 13

318:2x 3x 53

120:2x 2x 2x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14077702679040/(2x3168)

LCM = 14077702679040/6336

LCM = 2221859640

Thus, we can understand that the LCM of 924,698,572,318,120 is 2221859640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 698, 572, 318, 120

1. What is the LCM of 924, 698, 572, 318, 120?

Answer: LCM of 924, 698, 572, 318, 120 is 2221859640.

2. How to calculate the LCM of 924, 698, 572, 318, 120?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 924, 698, 572, 318, 120.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.